13 citations · 36 across the 19 of their papers we have counts for
22 papers
Formulas for Koornwinder polynomials
Laura Colmenarejo, Lucas Gagnon, Arun Ram
This paper provides formulas for Koornwinder polynomials in analogy with the creation formula, the alcove walk formula and the non-attacking fillings formula for the type Ma…
Cyclic sieving for a class of rectangular domino tableaux
Laura Colmenarejo, Bridget Eileen Tenner, Camryn E. Thompson
The cyclic sieving phenomenon (CSP) provides valuable data about symmetry classes of cyclic actions, and has applications to representation theory. In this paper, we enumerate domi…
The quantum k-Bruhat order
Laura Colmenarejo, Nicholas Mayers
In this paper, we extend the study of the quantum -Bruhat order initiated in the work of Benedetti, Bergeron, Colmenarejo, Saliola, and Sottile concerning the quantum Murnaghan-…
-functions and Koornwinder polynomials
Laura Colmenarejo, Arun Ram
This paper develops the theory of Macdonald-Koornwinder polynomials in parallel analogy with the work done for the case in [CR22]. In the context of the type affine r…
A quantum Murnaghan--Nakayama rule for the flag manifold
Carolina Benedetti, Nantel Bergeron, Laura Colmenarejo +2
In this paper, we give a rule for the multiplication of a Schubert class by a tautological class in the (small) quantum cohomology ring of the flag manifold. As an intermediate ste…
On the Lucky and Displacement Statistics of Stirling Permutations
Laura Colmenarejo, Aleyah Dawkins, Jennifer Elder +5
Stirling permutations are parking functions, and we investigate two parking function statistics in the context of these objects: lucky cars and displacement. Among our results, we…
On ranked and bounded Kohnert posets
Laura Colmenarejo, Felix Hutchins, Nicholas Mayers +1
In this paper, we explore combinatorial properties of the posets associated with Kohnert polynomials. In particular, we determine a sufficient condition guaranteeing when such ``Ko…
c-functions and Macdonald polynomials
Laura Colmenarejo, Arun Ram
This is a paper about -functions and Macdonald polynomials. There are -function formulas for -expansions of and , principal specializations of and $E_…
Chromatic symmetric functions of Dyck paths and q-rook theory
Laura Colmenarejo, Alejandro H. Morales, Greta Panova
The chromatic symmetric function (CSF) of Dyck paths of Stanley and its Shareshian-Wachs -analogue have important connections to Hessenberg varieties, diagonal harmonics and LLT…
Chromatic symmetric functions of Dyck paths and q-rook theory (extended abstract)
Laura Colmenarejo, Alejandro H. Morales, Greta Panova
The chromatic symmetric function (CSF) of Dyck paths of Stanley and its Shareshian-Wachs -analogue have important connections to Hessenberg varieties, diagonal harmonics, and LL…
Counting -Naples parking functions through permutations and the -Naples area statistic
Laura Colmenarejo, Pamela E. Harris, Zakiya Jones +4
We recall that the -Naples parking functions of length (a generalization of parking functions) are defined by requiring that a car which finds its preferred spot occupied mu…
A quadratic identity in the shuffle algebra and an alternative proof for de Bruijn's formula
Laura Colmenarejo, Joscha Diehl, Miruna-Stefana Sorea
Motivated by a polynomial identity of certain iterated integrals, first observed in [CGM20] in the setting of lattice paths, we prove an intriguing combinatorial identity in the sh…
Singular Nonsymmetric Macdonald Polynomials and Quasistaircases
Laura Colmenarejo, Charles F. Dunkl
Singular nonsymmetric Macdonald polynomials are constructed by use of the representation theory of the Hecke algebras of the symmetric groups. These polynomials are labeled by quas…
Connections between vector-valued and highest weight Jack and Macdonald polynomials
Laura Colmenarejo, Charles F. Dunkl, Jean-Gabriel Luque
We analyze conditions under which a projection from the vector-valued Jack or Macdonald polynomials to scalar polynomials has useful properties, especially commuting with the actio…
An insertion algorithm on multiset partitions with applications to diagram algebras
Laura Colmenarejo, Rosa Orellana, Franco Saliola +2
We generalize the Robinson-Schensted-Knuth algorithm to the insertion of two row arrays of multisets. This generalization leads to new enumerative results that have representation…
Toric geometry of path signature varieties
Laura Colmenarejo, Francesco Galuppi, Mateusz Michałek
In stochastic analysis, a standard method to study a path is to work with its signature. This is a sequence of tensors of different order that encode information of the path in a c…
Signatures of paths transformed by polynomial maps
Laura Colmenarejo, Rosa Preiß
We characterize the signature of piecewise continuously differentiable paths transformed by a polynomial map in terms of the signature of the original path. For this aim, we define…
Factorizations of symmetric Macdonald polynomials
Laura Colmenarejo, Charles F. Dunkl, Jean-Gabriel Luque
We prove many factorization formulas for highest weight Macdonald polynomials indexed by particular partitions called quasistaircases. As a consequence we prove a conjecture of Ber…
A minimaj-preserving crystal on ordered multiset partitions
Georgia Benkart, Laura Colmenarejo, Pamela E. Harris +4
We provide a crystal structure on the set of ordered multiset partitions, which recently arose in the pursuit of the Delta Conjecture. This conjecture was stated by Haglund, Remmel…
Combinatorics on several families of Kronecker coefficients related to plane partitions
L. Colmenarejo
We present a study of three families of Kronecker coefficients, which we describe in terms of reduced Kronecker coefficients. This study is grounded on the generating function of t…
Combinatorics on a family of reduced Kronecker coefficients
Laura Colmenarejo, Mercedes Rosas
The reduced Kronecker coefficients are particular instances of Kronecker coefficients that contain enough information to recover them. In this notes we compute the generating funct…
Stability Properties Of The Plethysm: A Combinatorial Approach
Laura Colmenarejo
An important family of structural constants in the theory of symmetric functions and in the representation theory of symmetric groups and general linear groups are the plethysm coe…